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137676 = 223711149
BaseRepresentation
bin100001100111001100
320222212010
4201213030
513401201
62541220
71112250
oct414714
9228763
10137676
1194490
1267810
134a886
1438260
152abd6
hex219cc

137676 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 35520.

The previous prime is 137659. The next prime is 137699. The reversal of 137676 is 676731.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2137676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

137676 is an abundant number, since it is smaller than the sum of its proper divisors (265524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137676 is a wasteful number, since it uses less digits than its factorization.

137676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 137676 is about 371.0471668131. The cubic root of 137676 is about 51.6360183592.

The spelling of 137676 in words is "one hundred thirty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 447 462 596 894 924 1043 1639 1788 2086 3129 3278 4172 4917 6258 6556 9834 11473 12516 19668 22946 34419 45892 68838 137676